Final answer:
The question appears to concern a system of equations and their solutions. We need the correct form of the equations to determine the number of solutions, but the goal is to simplify and solve the system, using graphical or algebraic methods.
Step-by-step explanation:
The question presented involves a system of equations, but the equations provided are not clearly displayed. There seems to be a confusion in the way the equations are written. However, based on the theme of the discussion and the step-by-step simplification, we can assume that the question is about solving a system of linear equations and determining the number of solutions it has.
Typically, a system of linear equations can have either one solution, no solutions, or infinitely many solutions. The number of solutions is determined by the relationship between the two equations' graphs. If the lines are parallel and distinct, the system has no solution. If the lines coincide, the system has infinitely many solutions. If the lines intersect at one point, the system has a unique solution.
A step worth mentioning for solving linear equations is to simplify the equations by performing the same operations on both sides. As indicated, one should multiply both sides of the equation by 2 when simplification requires it, which will give a new transformed equation that represents the same line.
To determine the number of solutions of the given system, we would need the correct form of the two equations. Once we have them, we can graph them or use algebraic methods such as substitution or elimination to find the solution(s). Without the correct equations, it's impossible to provide a specific answer to the number of solutions.